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Popular >

simplify e^{-pix}sin(pix)

Solution

simplify

e^{- π x} sin (π x)

Solution

\frac{sin ( π x )}{e ^{π x}}

Solution steps

e^{- π x} sin (π x)

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{π x}} sin (π x)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot sin ( π x )}{e ^{π x}}

Multiply:

1 \cdot sin (π x) = sin (π x)

= \frac{sin ( π x )}{e ^{π x}}

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Frequently Asked Questions (FAQ)

What is e^{-pix}sin(pix) ?
The solution to e^{-pix}sin(pix) is (sin(pix))/(e^{pix)}